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Q.

The potential energy function for a diatomic molecule is U(x) = ax12−bx6. In stable equilibrium , the distance between the particles is

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a

2ab16

b

ab16

c

b2a16

d

ba16

answer is A.

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Detailed Solution

F=−dUdx=12ax13−6bx7At equilibrium ,F=0  or x=  2ab16At this value of x , we can see that d2Udx2  is positive.So, potential energy is minimum or equilibrium is stable
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The potential energy function for a diatomic molecule is U(x) = ax12−bx6. In stable equilibrium , the distance between the particles is